Artur Avila Google Scholar Jun 2026

A deep dive into reveals a fascinating trend: his work is cited not just in "Mathematics" but in Physics (specifically Condensed Matter Physics and Quantum Mechanics) and Engineering .

For those who cannot attend his lectures at the Institute for Advanced Study (Princeton) or IMPA (Rio de Janeiro), the Google Scholar profile is the next best thing. It is a quiet, powerful archive of why Artur Avila is a true giant of 21st-century mathematics. artur avila google scholar

On Google Scholar, you can see that Avila’s citation count did not explode overnight. Instead, it shows a steady, exponential climb starting in the mid-2000s. This matches his real-world trajectory: his early work on Lyapunov exponents (a measure of chaos in a system) was extremely technical but foundational. By the 2010s, other mathematicians began applying his lemmas and theorems to problems in number theory, geometry, and even theoretical biology. A deep dive into reveals a fascinating trend:

: Co-authored with Sébastien Gouëzel and Jean-Christophe Yoccoz, addressing the statistical properties of complex geometric flows. Career Overview On Google Scholar, you can see that Avila’s